The interfacial bonding and efficient load transfer are the research focus of the carbon nanomaterials (CNMs) reinforced metal matrix composites. In this study, special structured copper composites with CNMs distributing in the 3-D skeleton (CNMs/Cuf®Cu) were designed and prepared. The open cell copper foams reinforced by carbon nanotubes (CNTs), reduced graphene oxide (RGO) or CNTs-RGO hybrid were prepared by electrodeposition with enhanced mechanical strength and acted as the reinforcing skeletons, and the pure copper phase with good ductility and conductivity was continuously filled in the foam pores through powder metallurgy. The 3-D skeleton reinforcing structure, network structured CNTs-RGO hybrid, grain refinement effect and the disordered interface with Cu2O interface products synergistically cause higher load transfer efficiency and result in improved mechanical properties for the CNTs-RGO/Cuf®Cu composite, which shows the ultimate tensile strength (UTS) of 382 MPa, fracture elongation of 43 % and electrical conductivity of 93.26%IACS.